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Finding the Fourth Proportional to 165,647.80, 248,471.70 and 152,817.40

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Solution

The fourth proportional to 165,647.80, 248,471.70 and 152,817.40 is: 229,226.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,647.80 : 248,471.70 = 152,817.40 : x
  2. Step 2: Convert to fraction form
    165,647.80/248,471.70 = 152,817.40/x
  3. Step 3: Cross multiply
    165,647.80x = 248,471.70 × 152,817.40
  4. Step 4: Simplify right side
    165,647.80x = 37,970,799,167.58
  5. Step 5: Solve for x
    x = 37,970,799,167.58/165,647.80
  6. Step 6: Final answer
    x = 229,226.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.